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Finding the Fourth Proportional to 4,641.10, 6,957.74 and 3,156.17

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Solution

The fourth proportional to 4,641.10, 6,957.74 and 3,156.17 is: 4,731.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.10 : 6,957.74 = 3,156.17 : x
  2. Step 2: Convert to fraction form
    4,641.10/6,957.74 = 3,156.17/x
  3. Step 3: Cross multiply
    4,641.10x = 6,957.74 × 3,156.17
  4. Step 4: Simplify right side
    4,641.10x = 21,959,783.36
  5. Step 5: Solve for x
    x = 21,959,783.36/4,641.10
  6. Step 6: Final answer
    x = 4,731.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.